**MATH 141 - PRECALCULUS**

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**¥ SOLUTIONS TO THE FINAL NOW
UP: **Final É Solutions

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EXTRA CREDIT!**

(This review can especially help with the very difficult Quiz 1A.)

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**¥ IF YOU LIKE
ALEKS, BUT YOU FIND THE PACE IN 141 TO BE TOO FAST, TRY THE MATH 15s!**

TheyÕre great, 1-unit, online, ALEKS-based, self-paced refreshers that
have helped many students. 15E is trig; 15F is college algebra. A Òno-passÓ
does not affect GPA, though it does appear on your transcript; itÕs mostly a
problem if youÕre on academic probation. 15E includes 15D (geometry). Instead
of enrolling in both 15E and 15F, contact the instructor, and s/he may be able
to make arrangements with you to just enroll in one Precalculus class, though
you may be facing material you havenÕt seen yet.

These are offered a couple of times throughout the semester. You could
take more than one in one semester! Get a good foundation for your classes!

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**¥**** CLASS
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*¥ Class Notes*

¥ Many students benefit from **printing the notes** for a
lecture beforehand, **reviewing** them, and **commenting** on them in
class.

¥ You may want to take personalized Òsketch notesÓ in class.

Creative Commons License: For
Òattribution,Ó simply mention my name and/or web URL somewhere if youÕre using
huge chunks of the notes. I simply want due credit.

**¥
CORRECTION to 1.2.3! **In the middle of
page 1.2.3, -9 (instead of 9) is not in the domain of *f*.

Notes for Quiz 1A and
Quiz 1B (last revised 1/27/13)

¥ Chapter 0:
Preliminary Topics: (last revised 1/27/13)

¥ Chapter 1:
Functions

**¥ MATH
DANCES FOR GRAPHING!**

¥ http://9gag.com/gag/4419992/do-the-math-dance
(correction: x^2 + y^2 = r^2)

¥ http://www.seyedrezabazyar.com/fa/math-dances/

¥ https://www.reddit.com/r/geek/comments/444shr/dancing_mathematician/
(see the dance!)

**¥ (The following
notes will be revised for later semesters. Section and page references may be
inconsistent with the new Chapters 0 and 1. Please **Email me **with
comments/suggestions.)**

¥ Chapter 2:
Polynomial and Rational Functions

¥ Chapter 3:
Exponential and Logarithmic Functions

**¥ CARD
SHARKS AND (NEARLY) EXPONENTIAL GROWTH: **https://www.youtube.com/watch?v=6z8IK4dj_uY**
É **https://www.youtube.com/watch?v=vCzvH9nLZYA

**¥
WATCH ÒTHE SIMPSONS!Ó:** http://www.youtube.com/watch?v=bZivCw3bB6w

¥ Chapter 4:
Trigonometry

**¥
VISUALIZING THE SIX BASIC TRIG FUNCTIONS: **

http://www.kkuniyuk.com/TrigSixParts.pdf
(revised 2/11/06)

¥ Chapter 5:
Analytic Trigonometry

¥ Chapter 6:
Additional Topics in Trigonometry

**¥ KHAN ACADEMY ON EULERÕS FORMULA.**** (Do you have emotion?)**

https://www.youtube.com/watch?v=mgNtPOgFje0

¥ Chapter 7:
Systems of Equations and Inequalities

¥ Chapter 8:
Matrices and Determinants

¥ Chapter 9:
Discrete Math

**¥
VIDEOS AND PASCALÕS TRIANGLE MAGIC: CLICK ON **Notes for
Final

¥ Chapter 10:
Conics and Polar Coordinates [as time permits] (Ch.10 is mostly handwritten.)

**¥
ANIMATION ON CONICS**

https://www.youtube.com/watch?v=HO2zAU3Eppo

Corrections: (0:48-1:07) The
double-nappe cone (or simply ÒconeÓ) here should not
be thought of as finite, so there are no ÒbasesÓ and there is no Òbase
perimeter.Ó The term ÒdirectrixÓ is used elsewhere, especially when describing
parabolas.

¥ In previous semesters, the final was cumulative. For your
information, here was the outline provided: Math141OldFinalOutline.pdf

** ¥ Syllabus (Spring 2017): **Syllabus

*¥ Homework Assignments*

¥ Printed hard
copies of these will be provided in class.

**GO
THROUGH MY HOME PAGE (OR SEE ME) IF YOU'D LIKE TO KEEP YOUR NAME
"PRIVATE" ON YOUR HOMEWORK.**

*¥
SPRING 2017***:**

#1-A: HW É Answers É (Ch.0 in my
notes) (9 points) É (revised 1/19/16)

#1-B: HW É Answers É (Ch.1) (6
points) É (revised 9/3/15)

#2: HW É Answers É (Chs.2 and
3) (15 points) É (revised 9/16/16 – answer to
2.2, #4)

#3: HW É Answers É (Ch.4) (15
points) É (revised 10/27/12)

#4: HW É Answers É (Chs.5 and
6) (15 points) É (revised 4/1/17 – minor edits)

#5: HW É Answers É (Chs.7-10)
(25 points). (revised
4/24/16)

PolarGraphPaper
(Ch.10; created using *Mathematica*
with *Microsoft Word*)

*¥
OLD ASSIGNMENTS FROM FALL 2016 (MAY BE UPDATED FOR SPRING 2017):*

*¥ Old Exams and Solutions
(Fall 2016)*

¥ __Disclaimer__:
Your exams might look very different from these! Lengths of exam times may be
different.

¥ If your printer is broken, you can ask me for printed hard
copies in my office hours.

Quiz 1A É Solutions (1 hour and
15 minutes)

¥ Chapter 0:
Preliminary Topics

Quiz 1B É Solutions (45 minutes)

¥ Chapter 1:
Functions

Midterm #2 É Solutions (50 minutes
for Part 1; 1 hour and 20 minutes for Part 2)

¥ Chapter 2:
Polynomial and Rational Functions

¥ Chapter 3:
Exponential and Logarithmic Functions

Midterm #3 É Solutions (30 minutes
for Part 1; 1 hour and 40 minutes for Part 2)

¥ Chapter 4:
Trigonometry

Midterm #4 É Solutions (40-45 minutes
for Part 1; 1 hour and 25-30 minutes for Part 2)

¥ Chapter 5:
Analytic Trigonometry

¥ Chapter 6:
Additional Topics in Trigonometry

Final É Solutions (2 hours
and 20 minutes). Material covered in later terms may differ.

¥ Chapter 7:
Systems of Equations [and Inequalities]

¥ Chapter 8:
Matrices and Determinants

¥ Chapter 9:
Discrete Math

¥ Chapter 10:
Conics and Polar Coordinates

*¥ Current Exams and Solutions
(Spring 2017)*

Quiz 1A É Solutions (1 hour and
15 minutes)

¥ Chapter 0:
Preliminary Topics

Quiz 1B É Solutions (45-50
minutes)

¥ Chapter 1:
Functions

Midterm #2 É Solutions (50 minutes
for Part 1; 1 hour and 20 minutes for Part 2)

¥ Chapter 2:
Polynomial and Rational Functions

¥ Chapter 3:
Exponential and Logarithmic Functions

Midterm #3 É Solutions (30-40 minutes
for Part 1; 1 hour and 30-40 minutes for Part 2)

¥ Chapter 4:
Trigonometry

Midterm #4 É Solutions (40-45 minutes
for Part 1; 1 hour and 25-30 minutes for Part 2)

¥ Chapter 5:
Analytic Trigonometry

¥ Chapter 6: Additional
Topics in Trigonometry

Final É Solutions (2 hours
and 20 minutes). Material covered in later terms may differ.

¥ Chapter 7: Systems
of Equations [and Inequalities]

¥ Chapter 8:
Matrices and Determinants

¥ Chapter 9:
Discrete Math

¥ Chapter 10:
Conics and Polar Coordinates

¥ Exams and
solutions will be posted about a week after you take them.

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me (I encourage corrections!) É HOME